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Find the area of the sector.

Find The Area Of The Sector class=

Sagot :

Okikiolu3idn

Answer:

33.5

Step-by-step explanation:

60°÷360=0.16

60°/360° ×π×8²m

=33.5m²

Answer:

5.9 m²

Step-by-step explanation:

Area (shaded) = Area (sector) - Area (triangle)

Finding base of triangle

  • (b/2)² + (6.9)² = 8²
  • b²/4 + 47.61 = 64
  • b²/4 = 16.39
  • b² = 65.56
  • b = 8.09 (approx.)

Solving

  • Area (shaded) = 3.14 x 64 x 60/360 - 1/2 x 8.09 x 6.9
  • Area (shaded) = 200.96 x 1/6 - 3.45 x 8.09
  • Area (shaded) = 33.49 - 27.91
  • Area (shaded) = 5.58 ≅ 5.9 m²
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